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Biology and Environmental Science In April 2013, Eddie (\"Flathead Ed\") Wilcoxs

ID: 3177410 • Letter: B

Question

Biology and Environmental Science In April 2013, Eddie ("Flathead Ed") Wilcoxson caught a flathead catfish that weighed 76.52 pounds on Bartlett Lake in Arizona.^5 The cat- fish was 53.5 inches long and its girth measured 34.75 inches Suppose five catfish were caught on the same lake with weights (in pounds) given in the following table A random sample of three of these catfish is selected without replacement. Find the sampling distribution of the sample mean X^bar. Find the sampling distribution of the total length for all three catfish, T.

Explanation / Answer

Result:

a).

sample 1

sample 2

sample 3

Mean

11

15

32

19.3333

11

15

21

15.6667

11

15

27

17.6667

11

32

21

21.3333

11

32

27

23.3333

11

21

27

19.6667

15

32

21

22.6667

15

32

27

24.6667

15

21

27

21.0000

32

21

27

26.6667

Descriptive statistics

Mean

n

10

mean

21.200000

sample standard deviation

3.293090

b).

sample 1

sample 2

sample 3

Total

11

15

32

58

11

15

21

47

11

15

27

53

11

32

21

64

11

32

27

70

11

21

27

59

15

32

21

68

15

32

27

74

15

21

27

63

32

21

27

80

Descriptive statistics

Total

n

10

mean

63.60

sample standard deviation

9.88

sample 1

sample 2

sample 3

Mean

11

15

32

19.3333

11

15

21

15.6667

11

15

27

17.6667

11

32

21

21.3333

11

32

27

23.3333

11

21

27

19.6667

15

32

21

22.6667

15

32

27

24.6667

15

21

27

21.0000

32

21

27

26.6667